Classifying Voronoi graphs of hex spheres

Details Classifying Voronoi graphs of hex spheres Classifying Voronoi graphs of hex spheres

2010-10-29

arxiv.org/abs/1010.6236v1

Mathematics

Geometric Topology

14 pages, 9 figures

Scientific paper

A hex sphere is a singular Euclidean sphere with four cones points whose cone angles are (integer) multiples of 2*pi/3 but less than 2*pi. Given a hex sphere M, we consider its Voronoi decomposition centered at the two cone points with greatest cone angles. In this paper we use elementary Euclidean geometry to describe the Voronoi regions of hex spheres and classify the Voronoi graphs of hex spheres (up to graph isomorphism).

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